Number of planar partitions that are not corners.

Terms

a(0) =0a(1) =0a(2) =0a(3) =1a(4) =3a(5) =10a(6) =23a(7) =54a(8) =112a(9) =228a(10) =437a(11) =826a(12) =1499a(13) =2685a(14) =4688a(15) =8079a(16) =13668a(17) =22875a(18) =37738a(19) =61676a(20) =99672a(21) =159742a(22) =253681a(23) =399962a(24) =625741a(25) =972756a(26) =1502302a(27) =2306988a(28) =3522492a(29) =5351239